Public transit skip-stop operations were first introduced to cope with the traffic congestion. Skip-stop operations take place when each vehicle services a subset of stations along a route, which together covers all stations. ...

Ideally, a parametric model for a biological system enables prediction of system behaviour for conditions where we lack observations. This necessitates first estimating parameters from some limited data series subject to ...

In this thesis we primarily focus on developing tractable dynamic market models, together with applications of these models. We also address several open questions concerning the statistical properties of static market ...

Magnetic monopoles are solutions to first order non-linear partial differential equations called the Bogolmonyi equations. Magnetic monopoles in three dimensional hyperbolic space can be treated as instantons invariant ...

This thesis deals with differential privacy in Bayesian inference, probabilistic graphical models and information-theoretic settings. It also studies the expansion property and enumeration problems of certain subgraphs of ...

A Genome Wide Association Study(GWAS) aims to find genetic variants that are associated with a trait of interest. GWAS is a typical “great m, small n” in which the number (m) of genetic variants being observed in genome ...

The thesis presents a model of the outstanding balance on a creditcard account in which purchases and payments made by the card-holderfollow marked point processes. We use the model of credit card balanceto derive an ...

"It has been claimed and demonstrated that many of the conclusions drawn from biomedical research are probably false" (Button et al, 2013). ``Toth et al. (2010) make a common mistake of seeing structure where none exists" ...

Tropical cyclones (TCs) are the most severe weather phenomena which have a major impact on coastal communities of Australia and island countries of the Pacific Ocean. This thesis investigates three research questions, the ...

We present a method for estimating the age of genetic mutations based on the lengths of mutation harbouring chromosome segments shared between individuals carrying the mutation, where the segment lengths are modelled as ...